GCD of 872, 996, 435, 994 Calculator

Given Input numbers are 872, 996, 435, 994

In the factoring method, we have to find the divisors of all numbers

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

GCD of numbers is the greatest common divisor

So, the GCD (872, 996, 435, 994) = 1.

Given numbers are 872, 996, 435, 994

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 435 are 3 x 5 x 29

Prime factors of 994 are 2 x 7 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 872, 996, 435, 994

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(872, 996) = 217128

GCD(872, 996) = ( 872 x 996 ) / 217128

= 872 / 996

= 872

Step2:

LCM(4, 435) = 1740

GCD(4, 435) = ( 4 x 435 ) / 1740

= 4 / 435

= 4

Step3:

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

= 1 / 994

= 1

So, Greatest Common Divisor of 872, 996, 435, 994 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 522, 335, 182
• GCD of 724, 972, 388, 249
• GCD of 307, 722, 485, 780
• GCD of 529, 944, 520, 822
• GCD of 810, 387, 735, 799

Given numbers are 872, 996, 435, 994
The greatest common divisor of numbers 872, 996, 435, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 996, 435, 994 is 1.

1. What is the GCD of 872, 996, 435, 994?

GCD of given numbers 872, 996, 435, 994 is 1

2. How to calculate the greatest common divisor of 872, 996, 435, 994?

We can find the highest common divisor of 872, 996, 435, 994 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 872, 996, 435, 994 i.e 1.

3. How can I use the GCD of 872, 996, 435, 994Calculator?

Out the numbers 872, 996, 435, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.